105249924 has 72 divisors (see below), whose sum is σ = 303390360. Its totient is φ = 30477312.

The previous prime is 105249919. The next prime is 105249931. The reversal of 105249924 is 429942501.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 59444100 = 6768^2 + 7710^2 .

It is a super-2 number, since 2×105249924² = 22155093004011552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342 + ... + 14570.

It is an arithmetic number, because the mean of its divisors is an integer number (4213755).

Almost surely, 2^105249924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105249924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151695180).

105249924 is an abundant number, since it is smaller than the sum of its proper divisors (198140436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105249924 is a wasteful number, since it uses less digits than its factorization.

105249924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13264 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105249924 is about 10259.1385603276. The cubic root of 105249924 is about 472.1434077790.

The spelling of 105249924 in words is "one hundred five million, two hundred forty-nine thousand, nine hundred twenty-four".